Question: $1(10$ marks$)$ The T$-$section shown in Figure $2$ is subjected to a design ultimate moment of $M=180kN.m.$

Using ULS from SANS$10100-1,$ calculate the required area of reinforcement $($As$).$ Assume the NA

falls in the web and show all calculations$/$derivations and drawings where necessary $($required

for marks$)$

Figure $2$

Find the ultimate moment of resistance for the rectangular section reinforced presented in Figure $1$

using ULS according to SANS$10100-1.$

Show all calculations$/$derivations and drawings where necessary $($required for marks$)$

Dumatic material strengths:

ancrate

menfircement

$f_{ct}$:$=30*MPa$

$f_y$:$=450*MPa$

$b$:$=280*mm$

$d$:$=510*mm,A_s$:$=2410*m{m}^2$

$d^{\text{'}}$:$=50*mm,A_s^{\text{'}}$:$=628*m{m}^2$

Figure $1$